Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 875, 878 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 875 and 878 is 1.
GCF(875,878) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 875
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:
875 = 53×71
Prime Factorization of 878
2 | 878 |
439 | 439 |
1 |
Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:
878 = 21×4391
∴ So by taking common prime factors GCF of 875 and 878 is 1
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors and prime factorization of 875 and 878. The biggest common factor number is the GCF number.
So the greatest common factor 875 and 878 is 1.
Also check out the Least Common Multiple of 875 and 878
(i) The GCF of 875 and 878 is associative
GCF of 875 and 878 = GCF of 878 and 875
1. What is the GCF of 875 and 878?
Answer: GCF of 875 and 878 is 1.
2. What are the Factors of 875?
Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.
3. What are the Factors of 878?
Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.
4. How to Find the GCF of 875 and 878?
Answer:
Greatest Common Factor of 875 and 878 = 1
Step 1: Find the prime factorization of 875
875 = 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 878
878 = 2 x 439
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 875 and 878 is 1